Flux pinning describes the interaction between a high temperature superconductor (HTSC) and a magnetic field. The magnetic field induces current vortices in the HTSC, which are sensitive to and resist the change in magnetic flux through the HTSC surface. This effect creates mechanical stiffness and damping that influence the motion of the magnetic field’s source in multiple degrees of freedom. In a multibody space system, HTSC/magnet pairs placed on individual vehicles tie the dynamics of each body to that of its neighbors, creating a non-contacting virtual structure.